15edo/Unque's compositional approach: Difference between revisions

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Added mode 31 connection.
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This interpretation may also be criticized once again due to a lack of accuracy, but it is notably more consistent than the Carlos Alpha interpretations as the difference between the tunings does not accrue per step.
This interpretation may also be criticized once again due to a lack of accuracy, but it is notably more consistent than the Carlos Alpha interpretations as the difference between the tunings does not accrue per step.
=== 15edo and Mode 31 ===
[[31afdo|Mode 31]] of the Harmonic Series provides yet another lens through which to interpret 15edo.  The intervals [0 2 5 6 7 8 9 10 12 15] can be interpreted as an approximation of the chord 31:34:39:41:43:45:47:49:54:62.  Additionally, 11\15 can be interpreted somewhat inaccurately as 52/31; in spite of the error, this interval naturally lends itself to the structure of 15edo.  Similarly, 13\15 and 14\15 can be interpreted respectively as 57/31 and 59/31.  Finally, 1\15 can be said to represent 32/31 or 33/31, both with very high error but lending well to the harmonic structure of 15edo.
This yields the full chord 31:33:34:39:41:43:45:47:49:52:54:57:59:62.


=== 15edo's fifth ===
=== 15edo's fifth ===